5084135424 has 180 divisors, whose sum is σ = 15242946264. Its totient is φ = 1693384704.

The previous prime is 5084135417. The next prime is 5084135429. The reversal of 5084135424 is 4245314805.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5084135429) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3980674 + ... + 3981950.

Almost surely, 2^5084135424 is an apocalyptic number.

5084135424 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5084135424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7621473132).

5084135424 is an abundant number, since it is smaller than the sum of its proper divisors (10158810840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5084135424 is an frugal number, since it uses more digits than its factorization.

5084135424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1320 (or 1282 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 5084135424 is about 71303.1235220450. The cubic root of 5084135424 is about 1719.5139495550.

The spelling of 5084135424 in words is "five billion, eighty-four million, one hundred thirty-five thousand, four hundred twenty-four".